Copyright

What is the GCF of 16 and another integer?

Question:

What is the GCF of 16 and another integer?

Greatest Common Factor

The Greatest Common Factor (GCF) or Greatest Common Divisor (GCD) {eq}d {/eq} of two integers {eq}a {/eq} and {eq}b {/eq} is the biggest or largest integer that can divide into (or evenly divide) both {eq}a {/eq} and {eq}b {/eq}. This is usually written as

{eq}\begin{align} \text{gcd}(a,b) ****= d. \end{align} {/eq}

where {eq}a {/eq} and {eq}b {/eq} are relatively prime if and only if {eq}\text{gcd}(a.b) = 1. {/eq}

Answer and Explanation:

SInce {eq}16 = 2^4, {/eq} its only divisors are powers of 2 of the form {eq}2^k,\; k=0, 1, 2, 3, 4, {/eq} more clearly: 1, 2, 4, 8, and 16.

Hence,...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer

Learn more about this topic:

Loading...
How to Find the Greatest Common Factor

from Math 102: College Mathematics

Chapter 1 / Lesson 3
93K

Related to this Question

Explore our homework questions and answers library